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110100120020 = 2251123149146033
BaseRepresentation
bin110011010001001111…
…0101000000111010100
3101112012001210121012222
41212202132220013110
53300441112320040
6122325043401512
710645245402362
oct1464236500724
9345161717188
10110100120020
1142769713830
1219408383298
13a4c8183217
145486606632
152ce5cc2bb5
hex19a27a81d4

110100120020 has 96 divisors (see below), whose sum is σ = 264964089600. Its totient is φ = 38038415360.

The previous prime is 110100120019. The next prime is 110100120023. The reversal of 110100120020 is 20021001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680924 + ... + 826956.

It is an arithmetic number, because the mean of its divisors is an integer number (2760042600).

Almost surely, 2110100120020 is an apocalyptic number.

110100120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132482044800).

110100120020 is an abundant number, since it is smaller than the sum of its proper divisors (154863969580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110100120020 is a wasteful number, since it uses less digits than its factorization.

110100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146225 (or 146223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110100120020 its reverse (20021001011), we get a palindrome (130121121031).

The spelling of 110100120020 in words is "one hundred ten billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 149 220 230 253 298 460 506 596 745 1012 1265 1490 1639 2530 2980 3278 3427 5060 6556 6854 8195 13708 16390 17135 32780 34270 37697 68540 75394 146033 150788 188485 292066 376970 584132 730165 753940 1460330 1606363 2920660 3212726 3358759 6425452 6717518 8031815 13435036 16063630 16793795 21758917 32127260 33587590 36946349 43517834 67175180 73892698 87035668 108794585 147785396 184731745 217589170 239348087 369463490 435178340 478696174 500455091 738926980 957392348 1000910182 1196740435 2001820364 2393480870 2502275455 4786961740 5004550910 5505006001 10009101820 11010012002 22020024004 27525030005 55050060010 110100120020